47827560 has 128 divisors (see below), whose sum is σ = 164851200. Its totient is φ = 10978560.

The previous prime is 47827553. The next prime is 47827561. The reversal of 47827560 is 6572874.

47827560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47827561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24127 + ... + 26033.

It is an arithmetic number, because the mean of its divisors is an integer number (1287900).

Almost surely, 2^47827560 is an apocalyptic number.

47827560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47827560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82425600).

47827560 is an abundant number, since it is smaller than the sum of its proper divisors (117023640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47827560 is a wasteful number, since it uses less digits than its factorization.

47827560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 47827560 is about 6915.7472481287. The cubic root of 47827560 is about 362.9883959894.

The spelling of 47827560 in words is "forty-seven million, eight hundred twenty-seven thousand, five hundred sixty".